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Exercise 6. (4pts each, 20pts total) Given the complex number zg = -1 + 2i, find...
10. Find the fourth roots of the complex number 21 = 1+ 3.1. Part I: Write...
10. Find the fourth roots of the complex number 21 = 1+ 3.1. Part I: Write 21 in polar form. (2 points) Part II: Find the modulus of the roots of 21. (2 points) Part III: Find the four angles that define the fourth roots of the number 21. (4 points) Part IV: What are the fourth roots of 2 = 1+ 3.;? (4 points)
1 2 NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the...
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NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program,...
3. Find the polar form of each given complex number and sketch its position in the...
3. Find the polar form of each given complex number and sketch its position in the complex plane. a) 2-4 b) z 4i c) 2-1-i
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of...
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of the following function f(x) = -55:<2 1, 2sr35 (i) Domain (ii) Range = (b) Evaluate (1)f(-3) = (ii) f(2)= (iii) (4) = (c) Given the followig augumented matrix write a system of equations it represents. Assume the variables are r. v. Do not solve. (d) What is the solution for the system of equations equivalent to the following reduces augmented matrix? Assume the variables...
ANSWER ALL ! DONT ANSWER ONE. THEY ARE NOT COPYWRITED! 1.Plot the point (4,pi/3), given in polar coordinates and find th...
ANSWER ALL ! DONT ANSWER ONE. THEY ARE NOT COPYWRITED! 1.Plot the point (4,pi/3), given in polar coordinates and find the other polar coordinates (r,theta) of the point for which the following are true. A. r>0, -2pi < or equal to theta <0 B. r<0, 0< or equal to 2pi C. r>0, 2pi < or equal to theta <4pi. 2. Write the complex number in polar form 4 radical 3 +3i = _(cos_ degree+ i sin_degree) 3. what is the...
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of...
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
Design an ogee spillway with the following data: (i) Height of spillway crest above river bed 100 m (ii) Design discharge 12,000 cumecs (iii) Number of spans 6 (iv) Clear distance between piers 1...
Design an ogee spillway with the following data: (i) Height of spillway crest above river bed 100 m (ii) Design discharge 12,000 cumecs (iii) Number of spans 6 (iv) Clear distance between piers 15 m (v) Thickness of pier 3 m Slope of d/s face of the overflow section 0.8:1 Assume any other data if required.
Design an ogee spillway with the following data: (i) Height of spillway crest above river bed 100 m (ii) Design discharge 12,000 cumecs (iii)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
i can't solve this question of coordination chemistry, could someone hlep me please Exercise 1: 1. What kind(s) o...
i
can't solve this question of coordination chemistry, could someone
hlep me please
Exercise 1: 1. What kind(s) of interaction between the ligand and the metal ion is(are) considered in the crystal field approach? 2. Give and justify the degeneracy lifting for a tetrahedral complex. Would it be the same for an octahedral complex? 3. Let us consider hexaaquacopper(II) ion. Justify the elongation of two opposite Cu-O bonds (along z for example) compared to the other four Cu-O bonds using...
10. Find the fourth roots of the complex number 21 = 1+ 3.1. Part I: Write 21 in polar form. (2 points) Part II: Find the modulus of the roots of 21. (2 points) Part III: Find the four angles that define the fourth roots of the number 21. (4 points) Part IV: What are the fourth roots of 2 = 1+ 3.;? (4 points)
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NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program,...
3. Find the polar form of each given complex number and sketch its position in the complex plane. a) 2-4 b) z 4i c) 2-1-i
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of the following function f(x) = -55:<2 1, 2sr35 (i) Domain (ii) Range = (b) Evaluate (1)f(-3) = (ii) f(2)= (iii) (4) = (c) Given the followig augumented matrix write a system of equations it represents. Assume the variables are r. v. Do not solve. (d) What is the solution for the system of equations equivalent to the following reduces augmented matrix? Assume the variables...
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
Design an ogee spillway with the following data: (i) Height of spillway crest above river bed 100 m (ii) Design discharge 12,000 cumecs (iii) Number of spans 6 (iv) Clear distance between piers 15 m (v) Thickness of pier 3 m Slope of d/s face of the overflow section 0.8:1 Assume any other data if required.
Design an ogee spillway with the following data: (i) Height of spillway crest above river bed 100 m (ii) Design discharge 12,000 cumecs (iii)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
i
can't solve this question of coordination chemistry, could someone
hlep me please
Exercise 1: 1. What kind(s) of interaction between the ligand and the metal ion is(are) considered in the crystal field approach? 2. Give and justify the degeneracy lifting for a tetrahedral complex. Would it be the same for an octahedral complex? 3. Let us consider hexaaquacopper(II) ion. Justify the elongation of two opposite Cu-O bonds (along z for example) compared to the other four Cu-O bonds using...
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